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- Typical_set abstract "In information theory, the typical set is a set of sequences whose probability is close to two raised to the negative power of the entropy of their source distribution. That this set has total probability close to one is a consequence of the asymptotic equipartition property (AEP) which is a kind of law of large numbers. The notion of typicality is only concerned with the probability of a sequence and not the actual sequence itself.This has great use in compression theory as it provides a theoretical means for compressing data, allowing us to represent any sequence Xn using nH(X) bits on average, and, hence, justifying the use of entropy as a measure of information from a source.The AEP can also be proven for a large class of stationary ergodic processes, allowing typical set to be defined in more general cases.".
- Typical_set wikiPageExternalLink shannon1948.pdf.
- Typical_set wikiPageExternalLink book.html.
- Typical_set wikiPageID "248717".
- Typical_set wikiPageRevisionID "603701214".
- Typical_set hasPhotoCollection Typical_set.
- Typical_set subject Category:Information_theory.
- Typical_set subject Category:Probability_theory.
- Typical_set comment "In information theory, the typical set is a set of sequences whose probability is close to two raised to the negative power of the entropy of their source distribution. That this set has total probability close to one is a consequence of the asymptotic equipartition property (AEP) which is a kind of law of large numbers.".
- Typical_set label "Typical set".
- Typical_set sameAs m.01kz96.
- Typical_set sameAs Q7861378.
- Typical_set sameAs Q7861378.
- Typical_set wasDerivedFrom Typical_set?oldid=603701214.
- Typical_set isPrimaryTopicOf Typical_set.